Question 984895: Suppose a professor counts the final exam as being equal to each of the other tests in her course, and she will also change the lowest test score to match the final exam score if the final exam score is higher. If a student's four test scores are 83, 67, 55, and 86, what is the lowest score the student can earn on the final exam and still obtain at least an 80 average for the course?
Answer by solver91311(24713)   (Show Source):
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In order to get an 80 average on 5 test scores, the total of all the test scores must be 400 or more. If you add the existing scores, you get 291. That means you would need to get 109 on the final, and except for the "toss the lowest score" option, you could kiss your 80 average goodbye. Hence, in order to get the 80 average, the student must take advantage of the opportunity to toss the lowest score. So we toss out the lowest score, namely the 55, so the total of the three tests you are going to count is now 236. You still need 400 points for the 80, so double the Final Test score has to be 400 minus 236 or 164. That means you need 82 minimum on the Final for an 80 average overall.
John
My calculator said it, I believe it, that settles it
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